Determine the total number of roots of each polynomial function using the factores form? F(x) = (x-6)^2(x+2)^2

Answers

Answer 1

Answer:

4

Step-by-step explanation:

If we perform the indicated multiplication, the highest powered x term will be 4 (as in x^4).  Thus, the total number of roots of this polynomial will be 4.

Answer 2

Answer:

total number of roots =4

Step-by-step explanation:

the total number of roots of each polynomial function using the factored form

[tex]F(x) = (x-6)^2(x+2)^2[/tex]

Given f(x) is in factored form, to get the roots we look at the factors and the exponents.

[tex](x-6)^2[/tex] has exponent 2, so we have two roots 6 and 6

like that [tex](x+2)^2[/tex] gives us two roots because it has exponent 2

So total number of roots for this polynomial function is 4


Related Questions

16 increased by twice a number is -56

Answers

Answer:

-3.5

Step-by-step explanation:

100xyz-75xy factor completely ​

Answers

the factored form is

-25xy(-4z+3)

Plz help me i need it

Answers

Answer:   [tex]\bold{d)\quad \sqrt{6x^2-1}}[/tex]

Step-by-step explanation:

[tex]f(x)=\sqrt{2x-5}\qquad g(x)=3x^2+2\\\\\\f(g(x))=\sqrt{2(3x^2+2)-5}\\\\.\qquad \quad =\sqrt{6x^2+4-5}\\\\.\qquad \quad =\sqrt{6x^2-1}[/tex]

Simplify. Rewrite the expression in the form 10^n


10^5 x 10 = ?

Answers

10 to the power of 6

10^5 × 10 = 10^6

--------------------------

what is the sum of four times n and 6 is 12​

Answers

Answer:

2

Step-by-step explanation:

4n + 6 = 12

4n = 6

n = 3/2

4n + 6 = 12

subtract 6 on both sides

4n = 6

divide by 4 on both sides

n=3/2

The day after a national holiday, decoration were marked down 40%. Before the holiday, a patriotic banner cost $5.75. Hiw much did the banner cost after the holiday

Answers

Answer:14.375

Step-by-step explanation divide it

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet.

What is the height of the scale model in inches?

A] 3in
B} 105 in
C[ 12in
D{ 60in

PLEASE HELP‼️ AND SHOW WORK‼️

Answers

A. 12 in

We know that the sports stadium is 180 ft tall and that in the scale model there is 2 in for every 30 ft. If we divide 180 by 30 we get 6. There is 2 in for every 30 ft, so the answer would be 6 x 2 or 12 in.

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 2 inches = 30 feet and the height of the sports stadium is 180 feet.

The height of the sports stadium in scale model in inches is 12 inches.

Option C is the correct answer.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

In 5 minutes a machine can cut 10 potato

In 1 minute a machine can cut 2 potato.

We have,

30 feet = 2 inches

Divide both sides by 30.

1 feet = 2/30 inches

Now,

1 feet = 2/30 inches

Multiply 180 on both sides.

180 feet = 180 x 2/30 inches

180 feet = 6 x 2 inches

180 feet = 12 inches

Thus,

If 2 inches = 30 feet and the height of the sports stadium is 180 feet.

The height of the sports stadium in scale model in inches is 12 inches.

Learn more about unit rates here:

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25 points for answer!! Consider the circle graph below of the type of flowers planted in a garden. If 57 carnations are in the garden, how many roses are in the garden?

Answers

The ratio of carnations to roses in the garden is 19:31.

Since there are 57 carnations in the garden, there are 57 * 31/19 = 93 roses in the garden.

Answer:

The answer is 93

Step-by-step explanation:

Please help lol ............

Answers

Answer:

1 X 16 and 8 X2

Step-by-step explanation:

1 X 16 = 16

2 X 8 = 16

3 X nothing = 16

4 X 4 = 16

5 X nothing = 16

6 X nothing = 16

7 X nothing = 16

8 X 2 = 16

etc.

[tex]\bold{Hey\ there!} \\ \\ \bold{Choose\ all\ of\ the\ correct\ factors\ of\ 16}[/tex]

[tex]\bold{It \underline{CAN'T} \ be\downarrow} \\ \bullet\ \bold{3\times5\ because\ it\ equals\ to\ 15} \\\bullet\ \bold{4\times3\ because\ it \ equals\ to\ 12} \\ \\ \\ \\ \bold{It\ \underline{CAN} \ be\downarrow} \\ \bullet \ \bold{1\times16\ because\ it\ equals\ to \ 16} \\ \bullet \ \bold{8\times2\ because\ it\ equals\ to\ 16} \\ \\ \\ \boxed{\boxed{\bold{Answer(s):1\times16\ \& \ 8\times2}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your \ day!} \\ \\ \frak{LoveYourselfFirst:)}[/tex]

4 qt = how many cups??

Answers

4 quartz equals 16 cups

Answer:

16

Step-by-step explanation:

since the ratio of qrt to cup is 1:4, we can calculate 4:x by doing 4*4

What is the area of the shaded region?



? mm2

Answers

Answer:

im not great at math but i believe the answer is  24mm^2

Step-by-step explanation:

triangle area formula- (B*H)/2

large triangle:

6+4+2=12

H=12

B=5

5*12=60

60/2=30

small trangle:

4*3=12

12/2=6

30-6=24

therefore answer should be 24mm^2

What is 99 X 9? Please help me!

Answers

Answer: 891

Step-by-step explanation

99x9=891

I believe The answer is 891!

a calculator weighs 5 ounces. do 11 calculators weigh more than 4 pounds

Answers

Answer:

11 calculators do not weigh more than four pounds.

Step-by-step explanation:

Start off with the basic idea that 16 ounces = 1 pound.

1. Multiply the weight of one calculator by the number of calculators given

11 * 5 = 55 ounces

2. Divide 55 oz by 16 to get the number of pounds

55/16 = 3.4375 lbs.

3. 11 calculators weigh 3.4 pounds which is lower than 4 pounds

Hope this helped :)

Thanks for using Brainly!

Answer:

Yes

Step-by-step explanation:

So one calculator weighs 5 ounces. So if we have 11 we sould times 5 x 11 to equal 55. After, we calculate how many ounces 4 pounds is. If one ounce to a pound is 16 we do 16 x 4 that would equal 64. That is above 55 ounces.

Not what you're looking for? Reply to this question for help. If not, if you have time please hit the thanks. If you think this can help others you can always hit the Brainlist button, none of the things above are needed. :)

Take care, Eric

Which of the following best explains why all goals cannot be met in economics

Answers

Answer: The short answer is that some goals are simply incompatible with each other, like the law in Colorado that raised the minimum wage. That's great for the employees, bad for the employers. Employers, like employees, want to make money and stay in business. The more money each employer has to pay their employees, the higher the prices for certain goods go for that business to stay open.

Step-by-step explanation:

Find a number that is square number and also a cube number

Answers

Answer:

64

Step-by-step explanation:

4 x 4 x 4 = 64

8 x 8 = 64

Please help me!!! QUICK!!!
Extra points and brainliest will be given :)

Answers

See the attached picture:

I need help with this

Answers

Answer:

1. 4x, -2y, and 3

2. x and y

3. is 3

4. x

5. Coefficient

6. exponent

7. y*2

8. x to the y

9. no

Step-by-step explanation:

Use the quadratic formula to formula to find both solutions to the quadratic equation given below. 3x^2-x+6=0

Answers

Final answer:

To find the solutions of the quadratic equation 3x^2 - x + 6 = 0, we can use the quadratic formula. The solutions are complex numbers: x = (1 ± i√71) / 6.

Explanation:

To find the solutions of the quadratic equation 3x^2 - x + 6 = 0, we can use the quadratic formula. The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

By comparing the given equation to the standard quadratic equation form ax^2 + bx + c = 0, we can determine that a = 3, b = -1, and c = 6. Substituting these values into the quadratic formula, we get:

x = (-(-1) ± √((-1)^2 - 4(3)(6))) / (2(3))

Simplifying further, we have:
x = (1 ± √(1 - 72)) / 6

Finally, evaluating the expression under the square root, we get:
x = (1 ± √(-71)) / 6

Since the square root of a negative number is not a real number, the solutions to the quadratic equation are complex numbers. Hence, the solutions are:

x = (1 ± i√71) / 6

may somebody help me

Answers

Plug it in
The answer should be c

1) Jason flipped a penny many, many times to verify that it lands on heads half the time. He heard that if you apply a layer of clear coat to the tails side of a penny,it will land on heads more frequently. He decided to test this and coated the tails side of his penny. Jason flipped the coin 200 more times and it landed on heads 54.5% of the time. Do you think his trick worked? Use a 0.05

Answers

Answer:

yes theoretically it did work

Step-by-step explanation:

hypothetically it is supposed to land on each side half of the time, but as we all know it's a matter of luck. since after you put on the layer of coating and it landed on heads more thank half of the time (50%), it technically has worked but in a real world application it would be hard to tell/justify.

What is the solution to the system of equations?

y = –5x + 3

y = 1


Answers

Answer:

y = 1, x = 2/5 or (2/5, 1)

Step-by-step explanation:

Since you already know that y = 1, you can substitute 1 into the y of the other equation. So you end up with:

1 = -5x + 3

Then you solve this equation. First you subtract 3 from both sides and get:

-2 = -5x

Then you divide both sides by -5 and get:

2/5 = x

And you already know that y = 1 so your answer is:

x = 2/5, y = 1 or (2/5, 1)

Answer:

The answer is A

Step-by-step explanation:

Hope this helps got it right on the quiz

Decide if the situation involves a permutation... anyone?

Answers

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

[tex]4!=4\cdot3\cdot2\cdot1=24[/tex]

possible ways to do it.

list the fractions from least to greatest and a picture to show your answers

a 1/5,1/7,1/3
b 2/5,2/7,2/3
c 5/6,3/6, 1/6
d 5/12,8/12,4/12




Answers

Answer:

Below, the fractions organized from least to greatest:

a. 1/7, 1/5, 1/3

b. 2/7, 2/5, 2/3

c. 1/6, 3/6, 5/6

d. 4/12, 5/12, 8/12

The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last more than 39,000 miles.

Answers

Answer:

[tex]P = 84\%[/tex]

Step-by-step explanation:

The average is:

[tex]\mu = 40,000\ miles[/tex]

The standard deviation is:

[tex]\sigma = 1,000\ miles[/tex]

We want the probability that a tire lasts more than 39,000 miles.

This is:

[tex]P (X>39,000)[/tex]

Now we must transform these values to those of a standard normal distribution to facilitate calculation by using the probability tables.

[tex]P (X> 39,000)\\\\P (X-\mu> 39,000-40,000)\\\\P (\frac{X-\mu}{\sigma}> \frac{39,000 -40,000}{1,000})\\\\P (Z> -1)[/tex]

This is:

[tex]P(Z> -1) = P(Z<1)[/tex] ---------- (For the symmetry of the standard normal distribution)

When you search for the normal standard table, you get the following value:

[tex]P(Z <1) = 0.8413\\\\P(Z> -1) = 0.8413[/tex]

Carmen wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 39 feet. Suppose each can of paint will cover 169 square feet. How many cans will she need to paint the ceiling?

Answers

Answer:

The answer is 9

Step-by-step explanation:

39X39 is 1521

1521/169=9

so carmen needs 9 cans of paint

Final answer:

To paint the square ceiling of 1521 square feet, Carmen will need to round up from the approximately 9 cans of paint that would be required to cover it, so she will need to purchase 10 cans of paint.

Explanation:

Carmen would be dealing with a mathematical concept related to area and division. Since the ceiling is a square, we can find the total area by squaring the length of one side. This means multiplying 39 (feet) by itself: 39*39 = 1521 square feet.

Each tin of paint can cover 169 square feet, so if we divide the total square feet of the ceiling by what one tin can cover, we get the amount of tins needed. This means 1521 divided by 169: approximately 9 cans of paint. Since you cannot buy a fraction of a can, Carmen will need to purchase 10 cans of paint to ensure she can cover the entire area of the ceiling.

Learn more about Area and Division here:

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Which of the following are congruent angles?
A.
Y E
B.
H G
C.
X E
D.
W E

Answers

Answer: I would say Y E because thats the only one that makes sense.

Step-by-step explanation:

Can somebody help me with this question

Answers

Answer: [tex]p=38\°[/tex]

Step-by-step explanation:

By definition, you know that:

[tex](p+29\°)+(7p+27\°)=360\°[/tex]

Therefore, keeping this on mind, you can find the value of p, as following.

- Add the like terms:

[tex]p+29\°+7p+27\°=360\°\\8p+56\°=360\°[/tex]

- Subtract 56° from both sides of the equation and then divide both sides of thte equation by 8.

Therefore, you obtain that the value of p is:

[tex]8p+56\°-56\°=360\°-56\°\\8p=304\\\\\frac{8p}{8}=\frac{304\°}{8}\\p=38\°[/tex]

Plz Helpppppp meeeeeeeee

Answers

Answer:

y=x^2

Step-by-step explanation:

That one doesn't make a straight line it makes a parabola.

The polygon circumscribes the circle. What is the perimeter of the polygon?

Answers

Answer:

The perimeter of the polygon is [tex]66\ cm[/tex]

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

If the polygon circumscribes the circle

then

AB=AH

GH=GF

EF=ED

CB=CD

therefore

the perimeter is equal to

[tex]P=2(9+12+4+8)=66\ cm[/tex]

Howdy. please help.​

Answers

Answer: $253

Step-by-step explanation:

Answer:

The answer is 253.

Step-by-step explanation:

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